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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Surface Areas and Volumes of Spheres

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Exercise 1 Page 852

The surface area of a sphere is four times the product of π and the square of the radius.

1017.9m^2

Practice makes perfect

We will find the surface area of the given sphere. Let's take a look at it.

The surface area of a sphere is four times the product of π and the square of the radius. S=4π r^2 Let's substitute 9 for r in the above formula and simplify the right-hand side.

S=4π r^2

r= 9

S=4π ( 9)^2

▼

Simplify right-hand side

Calculate power

S=4π (81)

CommutativePropMult

Commutative Property of Multiplication

S=4(81)π

Multiply

S=324π

Use a calculator

S=1017.87...

Round to 1 decimal place(s)

S≈ 1017.9

The surface area of the given sphere to the nearest tenth is 1017.9m^2.

Subchapter links

Exercises p.852-855